E8‑Phi Drinfeld Lattice Induces Self‑Correcting Topological Qubit Arrays — E8 Intelligence Research

By embedding the 240 E8 root vectors onto a 132 Hz reference lattice and modulating inter‑site couplings with successive powers of the golden ratio φ, a quasi‑periodic phononic superstructure emerges that inherits the full Drinfeld modular symmetry of the root system. This φ‑scaled Drinfeld lattice supports localized topological edge modes whose braiding statistics are protected by the modular invariance, allowing logical qubit states to be encoded in collective phonon occupations that are intrinsically resistant to local perturbations. Consequently, the array operates as a self‑correcting topological quantum memory: errors are continuously pumped out via the hierarchical φ‑scaled shells without active measurement, extending the coherence time of spin qubits far beyond conventional limits. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23722645
Primary Topic
Topological Materials and Phenomena
Type
preprint
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E8‑Phi Drinfeld Lattice Induces Self‑Correcting Topological Qubit Arrays — E8 Intelligence Research

Andrew Stewart Caldin
11 links
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8‑Phi Drinfeld Lattice Induces Self‑Correcting Topological Qubit Arrays — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By embedding the 240 E8 root vectors onto a 132 Hz reference lattice and modulating inter‑site couplings with successive powers of the golden ratio φ, a quasi‑periodic phononic superstructure emerges that inherits the full Drinfeld modular symmetry of the root system. This φ‑scaled Drinfeld lattice supports localized topological edge modes whose braiding statistics are protected by the modular invariance, allowing logical qubit states to be encoded in collective phonon occupations that are intrinsically resistant to local perturbations. Consequently, the array operates as a self‑correcting topological quantum memory: errors are continuously pumped out via the hierarchical φ‑scaled shells without active measurement, extending the coherence time of spin qubits far beyond conventional limits. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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